There could be a chance Square Enix might be preparing a new title related to the Valkyrie Profile games. In Japan, the company filed trademarks for the name Valkyrie Elysium. There are listings for both the Japanese and English versions of the title. In each case, games are among the things the trademarked title could be used for. [Thanks, Gematsu!]
There have been four Valkyrie Profile games so far. Two are mainline entries in the series, while the other two are spin-offs. The original game and Valkyrie Profile 2 showed up on PlayStation platforms first. The first game then ended up with PSP, Android, and Apple iOS ports called Valkyrie Profile: Lenneth after launch. Valkyrie Profile 2 only appeared on the PS2 worldwide. Valkyrie Profile: Covenant of the Plume is a DS exclusive that is a strategy-RPG, rather than a turn-based JRPG.
Of the Valkyrie Profile games, Valkyrie Anatomia: The Origin is the most recent. It was a mobile RPG released worldwide. However, Square Enix shut it down in August 2020.
While the Valkyrie Elysium trademark is new, it could be years before we learn what it could mean. Square Enix filed for the Chocobo GP trademark in March 2021, then announced the full game at the September 2021 Nintendo Direct. It claimed The First Soldier trademark in January 2021, then revealed that game a month later in February 2021. However, it’s held the trademarks for Live a Live in places like Australia, Europe, and the US since July 2020 and not announced anything yet.